"No. With a wallet, you have your private keys, all the crypto is completely yours.
With an exchange (any exchange, not just Binance) the exchange owns the crypto, they hold the private keys, it belongs to them. Your account is an entry in their accounting database that assigns some of the crypto to you. As you trade, those entries in the database get shuffled, but none of the transactions actually go on those respective coins' blockchains.
The reason for this is simple - in trading you want instantaneous transactions, not ones that take from minutes to hours."

For instance, TRX was at .085 cents per coin several hours ago, then slumped into .057 cents per coin, now it is back up to .077 per coin.

It's beneficial to buy at the .057 price, then keep an eye on it once it goes up to .077...

U can either make a gamble on selling when it goes back up to .08 cents per coin, and trade it for a stable coin, then wait for it to slump back down to another low, then buy it again. That way u can consistently build up your amount of coins, without even investing more money.

It isn't gonna be a super big deal, if ur only investing $20, but it gives u a feel for the market, so u can better predict the charts, for when u do want to get into serious day trading.

As I said, I am not expert, but this is what I have found out playing with it a lot lately.

I'm only playing around with a bit of money, just trying to figure out the market, especially figure out the charts on some of these newer coins, so I can decide what to invest a lot of money into once I get my taxes back.